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Simplifying 3x + -18 = -6x + 3(1 + -4x) Reorder the terms: -18 + 3x = -6x + 3(1 + -4x) -18 + 3x = -6x + (1 * 3 + -4x * 3) -18 + 3x = -6x + (3 + -12x) Reorder the terms: -18 + 3x = 3 + -6x + -12x Combine like terms: -6x + -12x = -18x -18 + 3x = 3 + -18x Solving -18 + 3x = 3 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -18 + 3x + 18x = 3 + -18x + 18x Combine like terms: 3x + 18x = 21x -18 + 21x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 -18 + 21x = 3 + 0 -18 + 21x = 3 Add '18' to each side of the equation. -18 + 18 + 21x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 21x = 3 + 18 21x = 3 + 18 Combine like terms: 3 + 18 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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